The oscillation of a body on a smooth horizontal surface is represented by the equation, $X = A \cos (ω t)$ , where $X =$ displacement at time $t$ , $ω =$ frequency of oscillation, $a =$ acceleration at time $t$ and $T =$ time period.
Which one of the following graph shows correctly the variation $a$ with $t$ ?NEET 2014

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The equation of displacement, X = A cos ω t then the speed and acceleration will be in terms of amplitude of the wave and angular acceleration, v = d x d t = A ω sin ω t a = d 2 x d t 2 = - A ω 2 cos ω t , so the graph of acceleration and displacement.

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